Tuesday, July 23, 2013

1307.5644 (Jean-Pierre Antoine et al.)

A quasi-Hermitian operator is an operator that is similar to its adjoint in some sense, via a metric operator, i.e., a strictly positive self-adjoint operator. Whereas those metric operators are in general assumed to be bounded, we analyze the structure generated by unbounded metric operators in a Hilbert space. Following our previous work, we introduce several generalizations of the notion of similarity between operators. Then we explore systematically the various types of quasi-Hermitian operators, bounded or not. Finally we discuss their application in the so-called pseudo-Hermitian quantum mechanics.

Followers

About CPR

A site to capture the informal process of peer review that happens daily in academia. This is intended to be a useful resource for authors, referees, and editors of journals to optimize their publications based on input from the accumulated expertise of their community.